Measure Theory with Applications (L.6) (G1070)
Measure Theory with Applications (L.6)
Module G1070
Module details for 2022/23.
15 credits
FHEQ Level 6
Module Outline
The aim of this module is to provide a rigorous introduction to measure theory and Lebesgue integration and introduce some of their applications.
You will study sigma-additive measures and their properties and learn to construct the Lebesgue measures from outer measures using Caratheodory's method.
You will then study the powerful concept of Lebesgue integral and the convergence theorems of the Lebesgue integration theory and learn how to make use of them.
The module will also include an introduction to L^p spaces.
Module learning outcomes
Systematically understand the concept and the properties of a sigma-additive measure
Systematically understand how the concepts of integral and measure are related
Be able to use and understand the convergence theorems of Lebesgue integration theory
Know the basic facts on L^p spaces
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 20.00% | |
| Coursework components. Weighted as shown below. | ||
| Portfolio | T1 Week 11 | 40.00% |
| Problem Set | T1 Week 11 | 15.00% |
| Problem Set | T1 Week 4 | 15.00% |
| Problem Set | T1 Week 6 | 15.00% |
| Problem Set | T1 Week 9 | 15.00% |
| Unseen Examination | Semester 1 Assessment | 80.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Autumn Semester | Lecture | 2 hours | 11111111111 |
| Autumn Semester | Lecture | 1 hour | 11111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Dr Vladislav Vysotskiy
Assess convenor, Convenor
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